Find the inverse of x2x in Z3x32x2 Find the inverse of x2x i

Find the inverse of (x^2+x) in Z3/(x^3+2x+2).
Find the inverse of (x^2+x) in Z3/(x^3+2x+2).

Solution

[x^2 + x ] + [x^3 + 2x^2 + x + 2] = [x^3 + 3x^2 +2x + 2] = x^3 + 2x + 2

So thi sis the inverse

[x^3 + 2x^2 + x + 2]

 Find the inverse of (x^2+x) in Z3/(x^3+2x+2). Find the inverse of (x^2+x) in Z3/(x^3+2x+2).Solution[x^2 + x ] + [x^3 + 2x^2 + x + 2] = [x^3 + 3x^2 +2x + 2] = x

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